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Finding the Fourth Proportional to 107,000, 160,500 and 33,128

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Solution

The fourth proportional to 107,000, 160,500 and 33,128 is: 49,692

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000 : 160,500 = 33,128 : x
  2. Step 2: Convert to fraction form
    107,000/160,500 = 33,128/x
  3. Step 3: Cross multiply
    107,000x = 160,500 × 33,128
  4. Step 4: Simplify right side
    107,000x = 5,317,044,000
  5. Step 5: Solve for x
    x = 5,317,044,000/107,000
  6. Step 6: Final answer
    x = 49,692

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.